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Tomlinson-Harashima precoding (THP) is a nonlinear processing technique employed at the transmit side and is a dual to the successive interference cancelation (SIC) detection at the receive side. Like SIC detection, the performance of THP…

信息论 · 计算机科学 2016-11-15 K. Zu , R. C. de Lamare , M. Haardt

Time series often appear in an additive hierarchical structure. In such cases, time series on higher levels are the sums of their subordinate time series. This hierarchical structure places a natural constraint on forecasts. However,…

统计方法学 · 统计学 2025-03-20 Louis Steinmeister , Markus Pauly

Robotic manipulators for aerospace applications require a delicate balance between lightweight construction and fault-tolerant operation to satisfy strict weight limitations and ensure reliability in remote, hazardous environments. This…

机器人学 · 计算机科学 2026-04-21 Shoujie Li , Changqing Guo , Jianle Xu , Hong Luo , Xueqian Wang , Wenbo Ding , Bin Liang

Rate of Penetration (ROP) prediction is critical for drilling optimization yet remains challenging due to the nonlinear, dynamic, and heterogeneous characteristics of drilling data. Conventional empirical, physics-based, and standard…

机器学习 · 计算机科学 2025-11-10 Saddam Hussain Khan

The Tensor-Train (TT) format is a highly compact low-rank representation for high-dimensional tensors. TT is particularly useful when representing approximations to the solutions of certain types of parametrized partial differential…

We present two new algorithms for approximating and updating the hierarchical Tucker decomposition of tensor streams. The first algorithm, Batch Hierarchical Tucker - leaf to root (BHT-l2r), proposes an alternative and more efficient way of…

数值分析 · 数学 2024-12-24 Doruk Aksoy , Alex A. Gorodetsky

Tensor Factor Models (TFM) are appealing dimension reduction tools for high-order large-dimensional tensor time series, and have wide applications in economics, finance and medical imaging. In this paper, we propose a projection estimator…

统计方法学 · 统计学 2025-03-03 Matteo Barigozzi , Yong He , Lingxiao Li , Lorenzo Trapani

In this study, we focus on the development and implementation of a comprehensive ensemble of numerical time series forecasting models, collectively referred to as the Group of Numerical Time Series Prediction Model (G-NM). This inclusive…

机器学习 · 计算机科学 2023-12-04 Juyoung Yun

Most currently used tensor regression models for high-dimensional data are based on Tucker decomposition, which has good properties but loses its efficiency in compressing tensors very quickly as the order of tensors increases, say greater…

统计方法学 · 统计学 2024-03-20 Yuefeng Si , Yingying Zhang , Yuxi Cai , Chunling Liu , Guodong Li

The low multilinear rank approximation, also known as the truncated Tucker decomposition, has been extensively utilized in many applications that involve higher-order tensors. Popular methods for low multilinear rank approximation usually…

数值分析 · 数学 2021-04-05 Chuanfu Xiao , Chao Yang , Min Li

Generating forecasts for time series with multiple seasonal cycles is an important use-case for many industries nowadays. Accounting for the multi-seasonal patterns becomes necessary to generate more accurate and meaningful forecasts in…

应用统计 · 统计学 2020-04-28 Kasun Bandara , Christoph Bergmeir , Hansika Hewamalage

Tomlinson-Harashima precoding (THP) is a nonlinear processing technique employed at the transmit side to implement the concept of dirty paper coding (DPC). The perform of THP, however, is restricted by the dimensionality constraint that the…

信息论 · 计算机科学 2014-12-30 K. Zu , R. C. de Lamare

We consider an approximate computation of several minimal eigenpairs of large Hermitian matrices which come from high--dimensional problems. We use the tensor train format (TT) for vectors and matrices to overcome the curse of…

We introduce a simple yet significant improvement to the time-evolving block decimation (TEBD) tensor network algorithm for simulating the time dynamics of strongly correlated one-dimensional (1D) mixed quantum states. The efficiency of 1D…

量子物理 · 物理学 2026-05-19 Sayak Guha Roy , Kevin Slagle

Existing backdoor attacks on multivariate time series (MTS) forecasting enforce strict temporal and dimensional coupling between triggers and target patterns, requiring synchronous activation at fixed positions across variables. However,…

密码学与安全 · 计算机科学 2026-01-09 Zhixin Liu , Xuanlin Liu , Sihan Xu , Yaqiong Qiao , Ying Zhang , Xiangrui Cai

This paper challenges the dominance of stochastic trend models by introducing the Seasonal-Trend-Stationary ARMA (STSA) framework, which represents univariate nonstationary time series as stationary fluctuations around deterministic trend…

应用统计 · 统计学 2025-11-26 Zhandos Abdikhadir , Terence Tai Leung Chong

We address the problem of tensor decomposition in application to direction-of-arrival (DOA) estimation for transmit beamspace (TB) multiple-input multiple-output (MIMO) radar. A general 4-order tensor model that enables computationally…

信息论 · 计算机科学 2022-06-29 Feng Xu , Matthew W. Morency , Sergiy A. Vorobyov

The autoregressive moving average (ARMA) model takes the significant position in time series analysis for a wide-sense stationary time series. The difference operator and seasonal difference operator, which are bases of ARIMA and SARIMA…

应用统计 · 统计学 2021-03-03 Shixiong Wang , Chongshou Li , Andrew Lim

Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

数值分析 · 数学 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

In this paper, a data-driven position-aided approach is proposed to reduce the training overhead in MIMO systems, by leveraging side information and on-the-field measurements. A data tensor is constructed by collecting beam-training…

信号处理 · 电气工程与系统科学 2021-04-21 Tzu-Hsuan Chou , Nicolo Michelusi , David J. Love , James V. Krogmeier